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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 106–118 (Mi smj943)  
This article is cited in 27 scientific papers (total in 27 papers)

The magnetic geodesic flow on a homogeneous symplectic manifold

D. I. Efimov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (224 kB) Citations (27)
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Abstract: We prove the noncommutative integrability of the magnetic geodesic flow defined by the Kirillov form on a coadjoint orbit of a compact semi-simple Lie group. This implies that on a simply-connected homogeneous symplectic manifold the magnetic geodesic flow, defined by the homogeneous symplectic form and some metric, is integrable in the noncommutative sense.
Keywords: magnetic geodesic flow, geodesic flow, Kirillov form, symplectic manifold, homogeneous space, moment map, integrable Hamilton systems.
Received: 20.08.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 83–93
DOI: https://doi.org/10.1007/s11202-005-0009-y
Bibliographic databases:
UDC: 514.745.82
Language: Russian
Citation: D. I. Efimov, “The magnetic geodesic flow on a homogeneous symplectic manifold”, Sibirsk. Mat. Zh., 46:1 (2005), 106–118; Siberian Math. J., 46:1 (2005), 83–93
Citation in format AMSBIB
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\paper The magnetic geodesic flow on a~homogeneous symplectic manifold
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\pages 106--118
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\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 83--93
\crossref{https://doi.org/10.1007/s11202-005-0009-y}
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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